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38 votes
Find x so that m || n.(8x + 4)(9x-11)

User Cox
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1 Answer

28 votes
28 votes

Step 1: Let's recall that the angles given are alternate exterior angles and thus congruent which means the two angles have the same measure.

Step 2: Upon saying that, we are ready to wirite our equation to solve for x, as follows:

8x + 4 = 9x - 11

Like terms

8x - 9x = -11 - 4

-x = - 15

Multiplying by -1 at both sides:

x = 15

Step 3: Now we are ready to find that both angles are congruent and equal:

8 * 15 + 4 = 9 * 15 - 11

120 + 4 = 135 - 11

? = ?

I think you are more than ready to finish the calculation and confirm that m || n, Photo Softee!

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User Jason Harris
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